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Finding the Fourth Proportional to 1,784.78, 2,677.24 and 552.08

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Solution

The fourth proportional to 1,784.78, 2,677.24 and 552.08 is: 828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.78 : 2,677.24 = 552.08 : x
  2. Step 2: Convert to fraction form
    1,784.78/2,677.24 = 552.08/x
  3. Step 3: Cross multiply
    1,784.78x = 2,677.24 × 552.08
  4. Step 4: Simplify right side
    1,784.78x = 1,478,050.66
  5. Step 5: Solve for x
    x = 1,478,050.66/1,784.78
  6. Step 6: Final answer
    x = 828.14

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